Non-commutative massive unquenched ABJM

TL;DR

This paper constructs a non-commutative massive unquenched ABJM gravity dual using TsT transformations, analyzing supersymmetry preservation and the impact of flavor degrees of freedom on observables, advancing holographic quantum Hall state models.

Contribution

It introduces a novel non-commutative gravity background for ABJM theory with dynamical flavors, preserving supersymmetry and enabling studies of quantum Hall states.

Findings

Preserves ${\cal N}=1$ supersymmetry.

Provides a framework for holographic quantum Hall states.

Analyzes effects of dynamical flavors on observables.

Abstract

In this paper we study non-commutative massive unquenched Chern-Simons matter theory using its gravity dual. We construct this novel background by applying a TsT-transformation on the known parent commutative solution. We discuss several aspects of this solution to the Type IIA supergravity equations of motion and, amongst others, check that it preserves ${\cal N}=1$ supersymmetry. We then turn our attention to applications and investigate how dynamical flavor degrees of freedom affect numerous observables of interest. Our framework can be regarded as a key step towards the construction of holographic quantum Hall states on a non-commutative plane.